115232400 has 90 divisors (see below), whose sum is σ = 399900930. Its totient is φ = 30727680.

The previous prime is 115232371. The next prime is 115232407. The reversal of 115232400 is 4232511.

It can be written as a sum of positive squares in 3 ways, for example, as 1937664 + 113294736 = 1392^2 + 10644^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (115232407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12405 + ... + 19604.

Almost surely, 2^115232400 is an apocalyptic number.

115232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115232400 is an abundant number, since it is smaller than the sum of its proper divisors (284668530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115232400 is a wasteful number, since it uses less digits than its factorization.

115232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32033 (or 32019 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 115232400 is about 10734.6355317728. The cubic root of 115232400 is about 486.6217718850.

Adding to 115232400 its reverse (4232511), we get a palindrome (119464911).

The spelling of 115232400 in words is "one hundred fifteen million, two hundred thirty-two thousand, four hundred".